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312130422 = 23429379
BaseRepresentation
bin10010100110101…
…011101101110110
3210202022212110000
4102212223231312
51114401133142
650550012130
710510031142
oct2246535566
9722285400
10312130422
1115020a22a
1288647046
134c887276
142d650222
151c60814c
hex129abb76

312130422 has 80 divisors (see below), whose sum is σ = 733550400. Its totient is φ = 99184176.

The previous prime is 312130367. The next prime is 312130453. The reversal of 312130422 is 224031213.

312130422 is a `hidden beast` number, since 31 + 213 + 0 + 422 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312130395 and 312130404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3950979 + ... + 3951057.

It is an arithmetic number, because the mean of its divisors is an integer number (9169380).

Almost surely, 2312130422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312130422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366775200).

312130422 is an abundant number, since it is smaller than the sum of its proper divisors (421419978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312130422 is an frugal number, since it uses more digits than its factorization.

312130422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 312130422 is about 17667.2131928043. The cubic root of 312130422 is about 678.3367815440.

Adding to 312130422 its reverse (224031213), we get a palindrome (536161635).

The spelling of 312130422 in words is "three hundred twelve million, one hundred thirty thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 79 81 87 158 162 174 237 261 474 522 711 783 841 1422 1566 1682 2133 2291 2349 2523 4266 4582 4698 5046 6399 6873 7569 12798 13746 15138 20619 22707 24389 41238 45414 48778 61857 66439 68121 73167 123714 132878 136242 146334 185571 199317 219501 371142 398634 439002 597951 658503 1195902 1317006 1793853 1926731 1975509 3587706 3853462 3951018 5381559 5780193 10763118 11560386 17340579 34681158 52021737 104043474 156065211 312130422